Skills · Polynomials · Factoring
Factoring ax² + bx + c
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- ax² + bx + c, a prime: 2x² + 7x + 3
- ax² ± bx ± c, with a minus: 2x² + 5x − 3
- ax² + bx + c, a not prime: 6x² + 7x + 2
- a GCF first: 4x² + 14x + 6
Sample Sheet · Level 1
- 2x² + 19x + 35 =
- 2x² + 15x + 7 =
- 3x² + 17x + 10 =
- 5x² + 31x + 30 =
- 5x² + 37x + 14 =
- 5x² + 32x + 35 =
- 5x² + 16x + 3 =
- 2x² + 13x + 20 =
Answer key
- (x + 7)(2x + 5)
- (x + 7)(2x + 1)
- (x + 5)(3x + 2)
- (x + 5)(5x + 6)
- (x + 7)(5x + 2)
- (x + 5)(5x + 7)
- (x + 3)(5x + 1)
- (x + 4)(2x + 5)
Sample Sheet · Level 3
- 4x² + 8x + 3 =
- 7x² + 33x + 20 =
- 3x² − 8x + 5 =
- 9x² + 36x + 35 =
- 5x² + 16x + 12 =
- 3x² − 11x + 10 =
- 12x² + 72x + 105 =
- 20x² + 82x + 42 =
Answer key
- (2x + 1)(2x + 3)
- (x + 4)(7x + 5)
- (x − 1)(3x − 5)
- (3x + 5)(3x + 7)
- (x + 2)(5x + 6)
- (x − 2)(3x − 5)
- 3(2x + 5)(2x + 7)
- 2(2x + 7)(5x + 3)
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.